Rough Marcinkiewicz Integrals with Mixed Homogeneity on Product Spaces  

作　　者：Feng LIU Huo Xiong WU 

机构地区：[1]School of Mathematical Sciences, Xiamen University

出　　处：《Acta Mathematica Sinica,English Series》2013年第7期1231-1244,共14页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China (Grant No. 11071200);Natural Science Foundation of Fujian Province (Grant No. 2010J01013)

摘　　要：In this paper, the parabolic Marcinkiewicz integral operators on the product spaces R^m × R^n（m, n ≥ 2） are studied. The LP-boundedness for such operators are established under rather weak size conditions of the kernels, which essentially improve or extend certain previous results.In this paper, the parabolic Marcinkiewicz integral operators on the product spaces R^m × R^n（m, n ≥ 2） are studied. The LP-boundedness for such operators are established under rather weak size conditions of the kernels, which essentially improve or extend certain previous results.

关 键 词：Marcinkiewicz integrals non-isotropic dilations maximal functions rough kernels product spaces 

分 类 号：O172.2[理学—数学]